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x_{n+1} = n sin x_n+ 1 non periodic - All-Russian MO 2001 Regional (R4) 11.5

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September 26, 2024
Sequenceperiodictrigonometryrecurrence relationalgebra

Problem Statement

Given a sequence {xk}\{x_k\} such that x1=1x_1 = 1, xn+1=nsin⁡xn+1x_{n+1} = n \sin x_n+ 1. Prove that the sequence is non-periodic.
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